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Discrete $$vs$$ smeared crack models for concrete fracture: bridging the gap. (English) Zbl 1086.74044
Summary: Discrete and smeared crack models for concrete fracture are discussed in a historical perspective. It is argued that these two computational approaches, originally conceived as very different, can be brought together by exploiting the partition-of-unity property of finite element shape functions. The cohesive segments method, which exploits this partition-of-unity property, exhibits advantages of both the discrete and smeared crack approaches, and is capable of describing the transition from distributed micro-cracking to a dominant crack. The versatility of the cohesive methodology is shown by incorporating water diffusion and ion transport into the formulation.

##### MSC:
 74S05 Finite element methods applied to problems in solid mechanics 74R10 Brittle fracture
##### Keywords:
cohesive-zone models; partition of unity
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